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%I #15 May 26 2024 01:02:37
%S 1,27,502,8022,118363,1663809,22644784,301210524,3938740405,
%T 50831269671,649205557546,8222000492706,103410878533327,
%U 1293146143620813,16092125344053988,199423591976817768
%N Expansion of 1/((1-x)(1-3x)(1-11x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (27,-227,597,-396).
%F G.f.: 1/((1-x)*(1-3x)*(1-11x)*(1-12x)).
%F a(n) = (80*12^(n+3) - 9*11^(n+4) + 55*3^(n+3) - 36)/7920. - _Yahia Kahloune_, Jun 27 2013
%F a(n) = 27*a(n-1) - 227*a(n-2) + 597*a(n-3) - 396*a(n-4). - _Wesley Ivan Hurt_, May 26 2024
%t CoefficientList[Series[1/((1-x)(1-3x)(1-11x)(1-12x)), {x,0,20}],x] (* _Harvey P. Dale_, Mar 19 2011 *)
%o (PARI) a(n)=n+=3;(80*12^n-99*11^n+55*3^n-36)/7920 \\ _Charles R Greathouse IV_, Jun 27 2013
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.